论文标题
弱的Wigner-von Neumann类型电势的逆散射变换
The inverse scattering transform for weak Wigner-von Neumann type potentials
论文作者
论文摘要
在Korteweg-de Vries方程的Cauchy问题的背景下,我们将反向散射转换扩展到以加上无穷大的wigner-von neumann型电势的总和,带有小耦合常数。我们的论点基于汉克尔运营商的理论。
In the context of the Cauchy problem for the Korteweg-de Vries equation we extend the inverse scattering transform to initial data that behave at plus infinity like a sum of Wigner-von Neumann type potentials with small coupling constants. Our arguments are based on the theory of Hankel operators.